We present an improved, near-optimal hp error estimate for a
non-conforming finite element method, called the mortar method (M0). We
also present a new hp mortaring technique, called the mortar method (MP),
and derive h, p and hp error estimates for it, in the presence of
quasiuniform and non-quasiuniform meshes. Our theoretical results,
augmented by the computational evidence we present, show that like (M0), (MP)
is also a viable mortaring technique for the hp method.